A Class of Three-Weight and Four-Weight Codes

Authors:
Cunsheng Ding
Affiliations:
Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
Venue:
IWCC '09 Proceedings of the 2nd International Workshop on Coding and Cryptology
Year:
2009

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Abstract

In this paper, a class of three-weight linear codes and a class of four-weight linear codes over GF(q ) are presented and their weight distributions are determined. These codes are punctured from the irreducible cyclic codes, and contain optimal codes. Their duals contain also optimal codes.